1836306 has 36 divisors (see below), whose sum is σ = 4238442. Its totient is φ = 574464.

The previous prime is 1836301. The next prime is 1836319. The reversal of 1836306 is 6036381.

It can be written as a sum of positive squares in 3 ways, for example, as 1798281 + 38025 = 1341^2 + 195^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1836306.

It is not an unprimeable number, because it can be changed into a prime (1836301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5026 + ... + 5378.

2^1836306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1836306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119221).

1836306 is an abundant number, since it is smaller than the sum of its proper divisors (2402136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1836306 is a wasteful number, since it uses less digits than its factorization.

1836306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1836306 is about 1355.1036860698. The cubic root of 1836306 is about 122.4564554381.

The spelling of 1836306 in words is "one million, eight hundred thirty-six thousand, three hundred six".